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Finding the Fourth Proportional to 26,696.48, 40,044.72 and 8,228

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Solution

The fourth proportional to 26,696.48, 40,044.72 and 8,228 is: 12,342.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,696.48 : 40,044.72 = 8,228 : x
  2. Step 2: Convert to fraction form
    26,696.48/40,044.72 = 8,228/x
  3. Step 3: Cross multiply
    26,696.48x = 40,044.72 × 8,228
  4. Step 4: Simplify right side
    26,696.48x = 329,487,956.16
  5. Step 5: Solve for x
    x = 329,487,956.16/26,696.48
  6. Step 6: Final answer
    x = 12,342.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.